Ricci flow with metric torsion on surfaces of positive Euler characteristic
We study an adapted Ricci flow of connections with metric torsion on surfaces with positive Euler characteristic. We first prove that there do not exist any nontrivial solitons of the flow on the $2$-sphere thus confirming a conjecture of Branding--Kr\"oncke (J. Geom. Anal. 27.3 (2017), arXiv:1606.09121). We give an ex...